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Finding the Third Proportional to 237,144 and 361,740

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Solution

The third proportional to 237,144 and 361,740 is: 551,799.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,144 : 361,740 = 361,740 : x
  2. Step 2: Convert to fraction form
    237,144/361,740 = 361,740/x
  3. Step 3: Cross multiply
    237,144x = 361,740 × 361,740
  4. Step 4: Simplify right side
    237,144x = 130,855,827,600
  5. Step 5: Solve for x
    x = 130,855,827,600/237,144
  6. Step 6: Final answer
    x = 551,799.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.